Matematika Industri I

Pengantar Aritmatika & Aljabar

Determinan

Matriks

Vektor

Numerals & places value

• 0,1,2,3,4,5,6,7,8,9

• 246 -> 2 hundreds 4 tens 6 units -> 200+40+6

Points on a line and order

First natural number

8>56<7

-5 < 4

-2 > -4

-1 < 0

Bracket

• Addition and subtraction

• What is the value of?

8 + (-3) = ….

9 - (-6) = ….

(-4) + (-8) = ….

(-14) - (-7) = ….

Bracket

• Multiplication and division

12 x 2 = 24 & (-12) x (-2) = 24

12 : 2 = 6 & (-12) : (-2) = -2

What is the value of :

(-5) x 3 = ….

12 : (-6) = ….

(-2) x (-8) = ….

(-14) : (-7) = ….

Bracket & Presedence Rule

Bracket & Presedence Rule

1. Commutativity

2. Associativity

3. Distributivity

Distributed from the right but not from the left

Factors Prime Factorization126 = ….?

Ex. 3

7

Proper

Ex. 12

7

Improper

Ex. 62

3

Mixed

Multiplying Fraction

Equivalent Fraction

Dividing Fractions

Adding & Subtracting Fraction

Powers

The Laws of Powers

The Laws of Powers

The Laws of Powers

n x mnm

n

n

n

nn

n-m

n

m

nmnm

a a .5

b

a

b

a .4

a.b b . a .3

a a

a 2.

a a x a .1

n

n

1n

1 -

n-

n

nnn

n

m

n m

0

a

1 a .10

a a

1 .9

a.b b . a .8

a a 7.

1 a .6

The Laws of Powers